A shopkeeper cgeats to the extent of 11% while buying and selling fruits, by using tampered weights. His total gain in percentage is.

Options

A. 23.25
B. 23.21
C. 23.75
D. 23.5

Answer

To solve the problem of the shopkeeper who cheats by 11% while buying and selling fruits, we can break down the solution into clear steps:

### Step 1: Understand the cheating percentage
The shopkeeper cheats by 11% when buying and selling. This means that when he claims to buy or sell a certain amount, he actually gives or receives less.

### Step 2: Define the cost price
Let's assume the cost price (CP) of 1 unit of fruit is Rs. 1. Therefore, if he buys 100 units, the total cost price will be:
\[ \text{Total CP} = 100 \text{ units} \times 1 \text{ Rs/unit} = 100 \text{ Rs} \]

### Step 3: Calculate the effective quantity bought
Since he cheats by 11%, when he claims to buy 100 units, he actually receives:
\[ \text{Effective quantity} = 100 - 11\% \text{ of } 100 = 100 - 11 = 89 \text{ units} \]

### Step 4: Calculate the selling price
When he sells, he also cheats by 11%. So, if he sells 100 units, he charges for:
\[ \text{Selling Price (SP)} = 100 + 11\% \text{ of } 100 = 100 + 11 = 111 \text{ Rs} \]

### Step 5: Calculate the effective quantity sold
When he sells 100 units, he actually gives:
\[ \text{Effective quantity sold} = 100 - 11\% \text{ of } 100 = 100 - 11 = 89 \text{ units} \]

### Step 6: Calculate the total selling price for the effective quantity
The total selling price for the effective quantity sold (89 units) is:
\[ \text{Total SP} = 111 \text{ Rs/unit} \times 89 \text{ units} = 111 \times 89 = 9879 \text{ Rs} \]

### Step 7: Calculate profit
Now, we can calculate the profit:
\[ \text{Profit} = \text{Total SP} - \text{Total CP} = 9879 \text{ Rs} - 100 \text{ Rs} = 9789 \text{ Rs} \]

### Step 8: Calculate the profit percentage
To find the profit percentage, we use the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Total CP}} \right) \times 100 \]
Substituting the values:
\[ \text{Profit Percentage} = \left( \frac{9789}{100} \right) \times 100 = 9789\% \]

### Conclusion
Therefore, the shopkeeper's total gain in percentage is 9789%.

---